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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB053+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:04:35 PM UTC 2026

% Result   : Theorem 3.79s 1.41s
% Output   : CNFRefutation 3.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (  18 unt;   0 def)
%            Number of atoms       :  101 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  109 (  44   ~;  38   |;  22   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn  39   !;   3   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(f119,axiom,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
    <=> ic(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_classowl_ext) ).

fof(f145,axiom,
    ! [X0] : ~ icext(uri_owl_Nothing,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_ext) ).

fof(f146,axiom,
    ic(uri_owl_Nothing),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_type) ).

fof(f343,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_class_nothing_term) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_class_nothing_term) ).

fof(f562,plain,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    inference(flattening,[],[f560]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X0,X2)
            | icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f585]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f586]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( icext(X0,sK0(X0,X1))
          & ~ icext(X1,sK0(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f587]) ).

fof(f604,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f606,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_Class,X0)
        | ic(X0) )
      & ( ~ ic(X0)
        | icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f609,plain,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    inference(cnf_transformation,[],[f562]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( icext(X0,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f588]) ).

fof(f623,plain,
    ic(uri_owl_Nothing),
    inference(cnf_transformation,[],[f146]) ).

fof(f624,plain,
    ! [X0] : ~ icext(uri_owl_Nothing,X0),
    inference(cnf_transformation,[],[f145]) ).

fof(f625,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(cnf_transformation,[],[f561]) ).

fof(f665,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f604]) ).

fof(f674,plain,
    ! [X0] :
      ( ~ icext(uri_owl_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f606]) ).

tcf(c_49,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    inference(cnf_transformation,[],[f609]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X0,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f613]) ).

tcf(c_63,plain,
    ic(uri_owl_Nothing),
    inference(cnf_transformation,[],[f623]) ).

tcf(c_64,plain,
    ! [X0: $i] : ~ icext(uri_owl_Nothing,X0),
    inference(cnf_transformation,[],[f624]) ).

tcf(c_65,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(cnf_transformation,[],[f625]) ).

tcf(c_106,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f665]) ).

tcf(c_115,plain,
    ! [X0: $i] :
      ( ic(X0)
      | ~ icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[],[f674]) ).

tcf(c_1783,plain,
    icext(uri_owl_Class,uri_ex_c),
    inference(superposition,[status(thm)],[c_65,c_106]) ).

tcf(c_1952,plain,
    ic(uri_ex_c),
    inference(superposition,[status(thm)],[c_1783,c_115]) ).

tcf(c_3045,plain,
    ! [X0: $i] :
      ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,X0)
      | ~ ic(uri_owl_Nothing)
      | ~ ic(X0) ),
    inference(superposition,[status(thm)],[c_51,c_64]) ).

tcf(c_3049,plain,
    ! [X0: $i] :
      ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,X0)
      | ~ ic(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3045,c_63]) ).

tcf(c_3266,plain,
    ~ ic(uri_ex_c),
    inference(superposition,[status(thm)],[c_3049,c_49]) ).

tcf(c_3274,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3266,c_1952]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB053+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.41  % Computer : n001.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Thu Sep 24 15:46:53 UTC 2026
% 0.16/0.41  % CPUTime  : 
% 0.16/0.41  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.47  Running first-order theorem proving
% 0.16/0.47  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.49  
% 0.16/0.49  % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49  
% 0.16/0.49  % Detected problem language: tptp
% 0.16/0.50  % Proving...
% 3.79/1.41  % SZS status Started for theBenchmark.p
% 3.79/1.41  % SZS status Theorem for theBenchmark.p
% 3.79/1.41  
% 3.79/1.41  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.79/1.41  
% 3.79/1.41  % ------  iProver source info
% 3.79/1.41  
% 3.79/1.41  % git: date: 2026-07-19 20:42:38 +0200
% 3.79/1.41  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.79/1.41  % git: non_committed_changes: false
% 3.79/1.41  
% 3.79/1.41  % ------ Parsing...
% 3.79/1.41  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.79/1.41  
% 3.79/1.41  % ------ Preprocessing... sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.79/1.41  
% 3.79/1.41  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.79/1.41  % ------ Proving...
% 3.79/1.41  % ------ Problem Properties 
% 3.79/1.41  
% 3.79/1.41  % 
% 3.79/1.41  % clauses                               55
% 3.79/1.41  % conjectures                           1
% 3.79/1.41  % EPR                                   49
% 3.79/1.41  % Horn                                  52
% 3.79/1.41  % unary                                 24
% 3.79/1.41  % binary                                21
% 3.79/1.41  % lits                                  102
% 3.79/1.41  % lits eq                               0
% 3.79/1.41  % fd_pure                               0
% 3.79/1.41  % fd_pseudo                             0
% 3.79/1.41  % fd_cond                               0
% 3.79/1.41  % fd_pseudo_cond                        0
% 3.79/1.41  % AC symbols                            0
% 3.79/1.41  
% 3.79/1.41  % ------ Schedule dynamic 5 is on 
% 3.79/1.41  
% 3.79/1.41  % ------ no equalities: superposition off 
% 3.79/1.41  
% 3.79/1.41  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.79/1.41  
% 3.79/1.41  
% 3.79/1.41  % ------ 
% 3.79/1.41  % Current options:
% 3.79/1.41  % ------ 
% 3.79/1.41  
% 3.79/1.41  
% 3.79/1.41  % 
% 3.79/1.41  
% 3.79/1.41  % ------ Proving...
% 3.79/1.41  % 
% 3.79/1.41  
% 3.79/1.41  % SZS status Theorem for theBenchmark.p
% 3.79/1.41  
% 3.79/1.41  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.41  
% 3.79/1.41  
%------------------------------------------------------------------------------